Download Instrumental background correction, accuracy of oxygen

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O2k-SOP
Mitochondrial Physiology Network 14.06(03): 1-8 (2014)
2009-2014 OROBOROS
O2k-SOP B: www.bioblast.at/index.php/MiPNet14.06_InstrumentalBackground
Version 03: 2014-03-06
Instrumental
background
correction, accuracy of
oxygen flux and SOP
B
Fasching M, Gnaiger E
OROBOROS INSTRUMENTS Corp
high-resolution respirometry
Schöpfstr 18, 6020 Innsbruck Austria
Email:[email protected]; www.oroboros.at
Section
Page
1. Introduction ............................................................................... 1
2. Preparations ............................................................................... 2
2.1 Solutions ............................................................................... 2
2.2 Media .................................................................................... 3
2.3 Calibration of the oxygen sensors ............................................. 3
2.4 Experimental oxygen concentration .......................................... 3
3. Instrumental background test ....................................................... 5
3.1 TIP2k in feedback control mode ................................................ 5
3.2 Manual injections .................................................................... 7
4. Analysis and calculation of background parameters ......................... 8
5. References ................................................................................. 8
Supplement A: Background parameters and accuracy of flux ............... 9
Oxygen consumption by the polarographic oxygen sensor ................... 9
Accuracy of instrumental background tests...................................... 11
Supplement B: TIP2k in direct control mode .................................... 12
1. Introduction
For calibration of the polarographic oxygen sensor
(POS) and measurement of instrumental background
oxygen consumption, incubation medium without
biological sample is added into the O2k-Chamber at
experimental conditions. In a closed chamber under
these conditions, ideally oxygen concentration remains
constant.
In
practice,
however,
instrumental
background effects are caused by backdiffusion into the
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Instrumental O2 background
2
chamber at low oxygen pressure, oxygen diffusion out
of the chamber at elevated oxygen levels, and oxygen
consumption by the polarographic oxygen sensor
(OroboPOS). Determination of instrumental background
constitutes an important standard operating procedure
(SOP)
in
high-resolution
respirometry
(HRR).
Instrumental background oxygen flux is (i) minimized
in the OROBOROS Oxygraph-2k by instrumental design
and selection of appropriate materials. In addition, (ii)
instrumenal background is routinely tested, and (iii)
background correction of oxygen flux is applied
automatically by DatLab.
As an important component of quality assurance,
instrumental background is monitored at regular
intervals
during
an
experimental
project
and
documented, as a standard operational procedure to
exclude
instrumental
artefacts.
This
SOP
is
implemented even in cases of high experimental
oxygen fluxes when background correction is merely
within 1%-5% of flux. Taken together, the concept of
instrumental background oxygen flux and appropriate
corrections are indispensible components of HRR. To
obtain
accurate
parameters
for
instrumental
background correction, background tests are performed
in which several oxygen levels are set in the closed
O2k-Camber related to the experimental oxygen
regime, and background oxygen flux is measured as a
function of oxygen concentration.
2. Preparations
2.1 Solutions
Dithionite solution (10 mM, in phosphate buffer):
Component
Final conc.
FW
Na2S2O4
10 mM
174.1
Phosphate buffer (50 mM, pH 8):
Base
Acid
Final conc.
44 mM
5.9 mM
Component
Na2HPO4 ∙ 2 H2O
NaH2PO4 ∙ H2O
Addition to 10 ml final
0.017 g
FW
178.0
138.0
Addition to 1 liter final
7.83 g
0.81 g
Dithionite solution has to be prepared fresh and stored
on ice immediately before use. Add 17 mg dry
dithionite into a glass volumetric flask and add
phosphate buffer to the final 10 ml volume. Keep the
flask closed and minimize exposure to air.
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2.2 Media
Instrumental O2 background
3
The dithionite background experiment has to be
performed in MiR06 (or MiR05; MiPNet14.13). In many
other media (including cell culture media and
unbuffered water) side reactions lead to additional
oxygen fluxes which interfere with the instrumental
background oxygen flux. As an alternative, a strongly
buffered alkaline phosphate buffer may be used (>100
mM); >pH 8). Results obtained in MiR06 can be used
for other media (e.g. cell culture media).
2.3 Calibration of the oxygen sensors
B
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2.4 Experimental oxygen concentration
Graded levels of oxygen can be achieved in
instrumental background tests with the aid of a gas
phase included in the O2k-Camber, replacing air with
nitrogen or argon (to decrease oxygen levels), or with
oxygen (to increase oxygen levels). Mass transfer
between gas and liquid phases proceeds until the
targeted oxygen level is reached. This process is
stopped when the gas phase is eliminated by closing
the chamber (Gnaiger et al. 1995; Gnaiger 2008).
The main disadvantage of intermittently opening
the O2k-Chamber for application of a gas phase during
background experiments is the risk of inclusion of gas
bubbles when closing the chamber. Elimination of gas
bubbles is more difficult in O2k-MultiSensor ISE
applications, when one or two additional electrodes are
introduced through inlets in the stopper. Importantly, in
these applications instrumental background correction
is even more important, since inserted electrodes add
new oxygen storage capacities and potential leaks.
An automatic O2 background test has been
introduced to overcome these problems with the TIP2k.
Instrumental background tests should cover the
entire experimental oxygen range. Most experiments
are performed at oxygen levels below air saturation,
but high oxygen levels are used with permeabilized
fibres.
H2O2:
With MiR06 (containing catalase) oxygen concentration
is easily adjusted by injecting small amounts of a H2O2
stock solution into the closed chamber (MiPNet14.13).
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Oxygen levels are increased in steps of <200 µM (e.g.
from air saturation up to 350 µM) to prevent formation
of gas bubbles in the medium.
1
O2 (gas phase): For oxygen concentrations above 400 µM, the
preferred approach is application of a
gas phase with high oxygen pressure.
6
If a calibration at air saturation was
just performed, there is already an
‘open chamber’, i.e. a chamber with a
gas phase.
Insert the stopper,
3
completely
closing
the
chamber.
Siphon off any medium extruded
through the stopper capillary. Then
2
partially open the stopper (arrow 1),
insert the stopper-spacer tool (2) and
push down the stopper (3). The gas
injection syringe with supplied needle
(4; correct length) and spacer (5) is
filled with oxygen gas. Inject a few ml
4
of oxygen into the gas phase (6),
5
thereby creating an elevated oxygen
pressure above the stirred aqueous medium. Oxygen in
the gas and aqueous phases will start rapidly to
equilibrate.
Observe the oxygen signal in DatLab carefully.
When the desired oxygen concentration is nearly
reached, close the chamber, thereby extruding the gas
phase and stopping the equilibration process. After
stabilisation of oxygen flux, the first state of
background flux is recorded, by marking an appropriate
section of the oxygen flux (MiPNet19.01E). Further
steps of oxygen levels towards air saturation may be
achieved by shortly opening the stopper (again using
the stopper-spacer tool, 2), observing the drop of
oxygen concentration and closing the chamber at the
desired oxygen level. Preferentially, use the TIP2k
method described below.
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Instrumental O2 background
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3. Instrumental background test
3.1 TIP2k in feedback control mode
Fill the TIP2k syringes with the freshly prepared
dithionite solution, rinsing the syringes at least once
with the dithionite solution and taking care to minimize
exposure of the dithionite solution to air. Use a largevolume glass syringe and long needle to fill both TIP2k
syringes sequentially.
After air calibration close the chamber either
directly (normoxia) or after elevating oxygen levels
(hyperoxia). After closing the chamber, insert the TIP2k
needles through the stopper.
TIP2k-Manual:
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TIP2k Setup "BG_Feedback": Instrumental background oxygen flux at air
saturation (176 µM; 37 °C, 600 m altitude), 90 µM, 45 µM, 20 µM. Each level
was maintained for 20 minutes. The following parameters are used in the set up
file:
Line
1
2
3
4
Mode
FB
FB
FB
D
Start injection if
oxygen level (left
chamber) is >
µM
120
60
30
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Stop
injection
if
oxygen level (left or
right chamber is <
µM
100
50
23
Flow
Delay
Interval
Volume
µl/s
0.5
0.25
0.100
40
s
1200
900
900
s
300
300
300
µl
100
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Instrumental O2 background
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In the DatLab main menu select "TIP", select "BG_Feedback"  from the
dropdown menu and press "Load setup". Start the titration programme.
During operation the TIP2k window may be closed.
The TIP2k programme starts, allowing for a delay of
1200 s (20 min), during which time oxygen flux can
stabilize after closing the chamber, providing the first
background level (J°1). Then the first injection starts at
0.5 µl/s. The TIP2k operates now in feedback mode
while oxygen levels decline. The TIP2k stops when an
O2 concentration <100 µM is reached, and possibly
overshoots by 10 µM to yield a level of about 90 µM
(J°2). The 1200 s interval (20 min) is programmed as a
feedback control time of 300 s plus a delay of 900 s
before each further injection at 0.25 µl/s to 50 µM
(J°3) and 0.1 µl/s to 23 µM (J°4) (reducing the
overshoot to 5 µM and 3 µM).
After recording the last background level (J°4 at 20
µM) a final titration of excess dithionite is induced in
the direct control mode for a zero oxygen calibration of
the OroboPOS.
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3.2 Manual injections
Use a Hamilton syringe for manually injecting the
dithionite solution.
The effective concentration of dithionite decreases
in the stock solution over time due to autoxidation
when small amounts of oxygen leak into the solution.
The potency of the solution can be tested by injecting a
small volume (5 µl) into the closed oxygraph chamber
and observing the change in oxygen concentration.
The stoichiometric correction factor, SF, expresses the
deviation of the effective dithionite concentration from
the dithionite concentration added initially,
SF 
SF
ΔnO2(eff)
ΔnO2(calc)
ΔcO2
Vchamber
vinject
cNa2S2O4
nO2 (eff) cO2 Vchamber

nO2 (calc) vinject  cNa 2S2O4
(1)
Stoichiometric correction factor for dithionite concentration
Effective change of the amount of oxygen [µmol]
Calculated change of the amount of oxygen [µmol]
Effective drop in oxygen concentration [µmol dm-3; µmol.l-1]
Chamber volume [cm3; ml]
Injected volume of dithionite solution [mm3; µl]
Dithionite concentration in the initial stock solution (approx.
9.8 mmol dm-3 considering a complete consumption of
oxygen originally dissolved in the aqueous solvent),
irrespective of further oxygen uptake by the effectively
anoxic solution.
vinject is the volume injected to achieve a specific drop in
oxygen concentration:
vinject 
cO2 Vchamber
SF  cNa 2S2O4
(2)
A typical value of SF is 0.7 in a freshly prepared stock
solution.
Since no accurate oxygen concentrations
have to be achieved for determination of an
instrumental background, a value of 0.7 can be used
for most purposes. When using the TIP2k in Feedback
Control Mode, calculation of SF is not necessary.
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4. Analysis of instrumental background tests
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Gnaiger 2001 » ; 2008 » ; Gnaiger et al 1995 »
5. References
Gnaiger E (2008) Polarographic oxygen sensors, the oxygraph and highresolution respirometry to assess mitochondrial function. In: Mitochondrial
Dysfunction in Drug-Induced Toxicity (Dykens JA, Will Y, eds) John Wiley:
327-352. »
Gnaiger E (2001) Bioenergetics at low oxygen: dependence of respiration and
phosphorylation on oxygen and adenosine diphosphate supply. Respir
Physiol 128: 277-297. »
Gnaiger E, Steinlechner-Maran R, Méndez G, Eberl T, Margreiter R (1995) Control
of mitochondrial and cellular respiration by oxygen. J Bioenerg Biomembr 27:
583-596. »
O2k-Manual
» MiPNet19.01E
» MiPNet12.10
O2 flux analysis: real-time.
Titration-Injection microPump. TIP2k user manual.
O2k-Protocols
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»
»
»
MiPNet06.03
MiPNet08.09
MiPNet10.04
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POS calibration, accuracy and quality control SOP.
HRR with leukemia cells: respiratory control and coupling.
HRR: Phosphorylation control in cell respiration.
Mitochondrial respiration medium – MiR06.
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MiPNet14.06 InstrumentalBackground
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Supplement A:
Background parameters and accuracy of flux
Oxygen consumption by the polarographic oxygen sensor
The Clark-type polarographic oxygen sensor (POS) yields an electrical
signal while consuming the oxygen which diffuses across the oxygenpermeable membrane to the cathode. The cathode and anode reactions
are, respectively,
O2 + 2 H2O + 4 e4 Ag
4 Ag+ + 4 Cl-
 4 OH 4 Ag+ + 4 e 4 AgCl
(3a)
(3b)
(3b’)
The electric flow (current, Iel [A]) is converted into a voltage (electric
potential, Vel [V]) and amplified. In the Oxygraph-2k the gain, FO2,G, can
be selected in DatLab within the Oxygraph setup menu, with values of 1,
2, 4, or 8106 V/A, where 1 V/µA is the basal gain at a gain setting of 1.
The raw signal after amplification, RO2 [V], is related to the original POS
current,
Iel = RO2  FO2,G-1
(4)
Flux, J°O2 [pmol.s-1.ml-1]
Figure
2.
Instrumental
background oxygen flux, J°O2,
as a function of oxygen
2
concentration, cO2 [µM], in the
OROBOROS Oxygraph-2k (37
1
°C; NaCl solution with an
oxygen solubility factor of
0
0.92 relative to pure water).
Measurements
in
52
-1
chambers (2 ml volume) of 26
different instruments. In all
-2
tests, four oxygen ranges
were selected consecutively in
0
50
100
150
200 declining order. Each oxygen
Oxygen concentration [µM]
concentration was maintained
for 20 min, at the end of
which, time intervals of 200 seconds (corresponidng to 200 data points at the
sampling interval of 1 s) were chosen for estimating average flux at each
corresponding oxygen concentration. Averages and SD were calculated for the
intercept, a°, and the slope, b°, by linear regression for each individual chamber.
The full and stippled lines show the linear regression and 99 % confidence
intervals calculated through all data points.
3
a° = -2.06  0.39
b° = 0.0256  0.0028
r ² = 0.93
N = 52
RO2 is about 9 V (at air saturation, 37 °C, and a gain of 4106 V/A), and is
thus typically 2.2 µA under these conditions. In the cathode reaction (Eq.
3a), electric flow, Iel [A=Cs-1], is stoichiometrically related to molar
oxygen flow, IO2 [mol O2s-1], through the stoichiometric charge number of
the reaction, e-/O2 = 4, and the Faraday constant, F, i.e. the product of
the elementary charge and the Avogadro constant (F = 96,485.53 Cmol-1;
Mills et al., 1993). The oxygen/electric flow ratio is (Gnaiger, 1983),
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YO2/e- = (e-/O2  F)-1 = (4  96,485)-1 molC-1
= 2.59106810-6 mol O2C-1
= 2.591 pmol O2s-1µA-1.
(5)
Oxygen consumption by the POS can be directly measured in the
closed Oxygraph chamber at air saturation (Fig. 2), as volume-specific
oxygen flux, JO2° [pmols1cm3], and the corresponding theoretical
oxygen flux in Eq.(3a) can be calculated, JO2,POS (Fig. 3),
JO2,POS = (RO2 - RO2,0)  YO2/e-  FO2,G-1  V-1
(6a)
where RO2,0 is the raw signal at zero oxygen (zero current), and V is the
chamber volume of the Oxygraph-2k (2 cm3).
Flux, J°O2 [pmol.s-1.ml-1]
Figure
3.
Instrumental
background oxygen flux, J°O2,
3
as a function of the theoretical
ity
t
n
2
oxygen consumption by the
f ide
o
polarogrpahic oxygen sensor
Line
1
(POS), calculated from the
electrical signal (current) as a
0
function
of
oxygen
concentration (from data in
-1
Figure 1). The line of identity
(dashed) illustrates the full
-2
correspondence
between
experimental and theoretical
0
1
2
3
oxygen consumption at air
-1
-1
Expected POS flux, J°O2,POS [pmol.s .ml ] saturation (top right) and the
increasing
deviation
at
declining oxygen concentration owing to a linear increase of oxygen
backdiffusion.
It is more convenient to relate the theoretical oxygen consumption of
the POS to the measured oxygen concentration, cO2 [µM], using the
oxygen calibration factor, FO2,c [µM/V],
JO2,POS = (cO2  FO2,c-1)  YO2/e-  FO2,G-1  V-1
(6b)
Combining constants from Eq. 5, at a gain setting of 4 V/µA and a volume
of 2 cm3, Eq. 6 is,
JO2,POS = (RO2 - RO2,0)  0.3239 pmols-1cm-3V-1
= cO2  FO2,c-1  0.3239 pmols-1cm-3V-1
(6c)
Figure 4. Noise (SD of the mean) of the apparent oxygen flux, J’O2, as a function
of noise (SD of the mean) of oxygen concentration, cO2 (180  2 µM; at 95  1
kPa barometric pressure), in the “open” chamber of the OROBOROS Oxygraph2k (37 °C; NaCl solution, at air saturation), over time intervals of 200 seconds
(corresponidng to 200 data points at the sampling interval of 1 s). Each data
point (N=43) represents an independent Oxygraph-2k chamber (2 ml volume).
The SD of oxygen concentration was calculated from the raw signal without
smoothing. Flux was calculated from concentration smoothed with a moving
average (30 data points), using an eight point polynomial for calculation of the
slope. The outlier (full circle) corresponds to a data set with an individual spike.
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SD of flux, J´O2 [pmol.s-1.ml-1]
The full and stippled lines
show the linear regression
Air saturation (open)
and
99
%
confidence
1.0
intervals. On average, signal
stability was indicated by
0.8
apparent oxygen fluxes close
to zero during air calibration,
0.6
when oxygen concentration is
maintained
stable
by
0.4
exchange with the gas phase.
0.2
Average J’O2 amounted to
0.04  0.14 pmols-1cm-3
0.0
(range from –0.28 to 0.25
-1
-3
To express
0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 pmols cm ).
signal noise independent of
SD of oxygen concentration [µM]
these low levels of signal
drift, linear regressions were calculated through these 200 second sections, and
this drift was subtracted from the concentration before calculating the SD.
1.2
SD of flux, J°O2 [pmol.s-1.ml-1]
Figure 5. Noise (SD of the
mean) of the instrumental
Intercept; SD(0) = 0.024
background oxygen flux,
Slope
= 0.0031
0.75
J°O2, as a function of
oxygen concentration, cO2
[µM], in the OROBOROS
0.50
Oxygraph-2k (37 °C; NaCl
solution),
over
time
intervals of 200 seconds
0.25
(corresponidng to 200 data
points at the sampling
interval of 1 s). Each data
0.00
point (N=43) represents an
0
50
100
150
200 independent Oxygraph-2k
chamber (2 ml volume).
Oxygen concentration [µM]
Flux was calculated from
concentration smoothed with a moving average (30 data points), using an eight
point polynomial for calculation of the slope. The full and stippled lines show the
linear regression and 99 % confidence intervals. To express noise of flux
independent of small changes in flux over time, linear regressions were
calculated through 200 second sections, and this trend was subtracted from flux
before calculating the SD.
1.00
Accuracy of instrumental background tests
Instrumental background interferes with accurate measurement of
respiratory oxygen flux, if background effects remain undefined. The
instrumental oxygen background parameters are a property of the O2kChamber. Any contamination of the medium causing oxidative processes
(microbial respiration) is detected. Then background oxygen consumption
is a property of a contaminated medium. Otherwise instrumental
background does not depend on the specific medium. Therefore,
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background parameters obtained in one medium can be used for another
medium in the same chamber.
In a series of 52 experimental background determinations, 52
different O2k-chambers (2 ml volume, 37 °C) were tested (Oxygraph-2k,
Series A). The following average conditions applied:
Oxygen concentration at air saturation, cO2* = 179.9 µM
Average oxygen concentration at J°1, cO2,1 = 177.2 µM
Oxygen calibration signal at air saturation, RO2,1 = 8.744 V (Gain 4)
Oxygen calibration signal at zero oxygen, RO2,0 = 0.033 V (Gain 4)
Oxygen calibration factor, FO2,c = 20.69 µM/V
JO2,POS = 0.3239 x 177.2/20.69 = 2.77 pmols-1cm-3
At air saturation in the 2 cm3 chamber, the theoretically expected oxygen
consumption by the sensor is 2.77 pmols-1cm-3, in direct agreement with
the experimental result. At an average flux of 2.64 pmols-1cm-3 (0.35
SD; N=52; Fig. A2), the ratio between measured and theoretically
expected oxygen consumption by the POS was 0.95 (0.12 SD; N=52).
This provides possibly the first experimental evidence for the exact 4electron stoichiometry in the reduction of oxygen at the cathode of the
POS.
Supplement B: TIP2k in direct control mode
TIP2k-Manual
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Fill the TIP2k syringes with freshly prepared dithionite
solution. After air calibration record the first point of
the background experiment as described above.
Programming the TIP2k: Calculate the necessary injection
volumes as described in Section 2.5, initially assuming
SF = 0.7 (stoichiometric correction factor for dithionite
concentration). SF can be calculated after the first
injection and – if necessary – the TIP2k be
reprogrammed for subsequent injections. Alternatively,
SF may be determined initially:
 Set the Volue, vinject, to 5 µl;
 Test start before inserting the needles, to replace the
dithionite solution in the needles;
 Wait for stabilisation of oxygen flux;
 Inject 5 µl and calculate SF using Eq.(1).
Example: Oxygen level in the chamber is 160 µM. The user
wants to obtain four background levels (in addition to
the one recorded near air saturation). With four evenly
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spaced steps it is possible to reach a minimum of 20 µM
reducing the oxygen concentration by 35 µM steps. The
necessary injection volume, vinject, to achieve the
desired reduction of oxygen concentration can then be
calculated from Eq.(2). In the present example:
SF = 0.7; ΔcO2 = 35 µM; Vchamber = 2 ml; cNa2S2O4 = 9.8 mM
vinject = 10 µl
Four injections of 10 µl each should therefore bring the
oxygen concentration near the desired last level of 20
µM. Optionally, with a fifth injection, zero oxygen
concentration could be reached. It is recommended to
use a larger excess volume for zero calibration.
Always consider the expected experimental oxygen
concentration range: For an experiment at high oxygen
levels, calculate injection to decrease from the initial
oxygen level (e.g. 350 µM) to the final oxygen
concentration (e.g. air saturation). The minimum time
required between injections to obtain stable fluxes is
about 10 minutes. The time course of the instrumental
background should match the decline of oxygen
concentration in the real experiment. Longer intervals
will typically be chosen (15 min in our example). The
TIP2k can be set up in the following way:
Select Direct control and Vol+Flow
Delay [s]
0
Volume [µl]
10
Flow [µl/sec]
30
Interval [s]
900
Cycles
4
Start the experiment with Start.
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